Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in R2

Jingna Li, Hongxia Liu and Hao Tang

Stochastic Processes and their Applications, 2021, vol. 135, issue C, 139-182

Abstract: This paper focuses on a system of the 2-D MHD equations with fractional kinematic dissipation and partial magnetic diffusion under random perturbations. We first establish the local existence, uniqueness and blow-up criterion of pathwise classical solution to the corresponding SPDE with general multiplicative noise in R2. Moreover, when the noise is non-autonomous and linear, we further establish global existence and large-time behavior of pathwise solutions by exploiting the structure of the equations and some estimates on Girsanov type stochastic processes.

Keywords: Stochastic MHD equations; Fractional kinematic dissipation; Partial magnetic diffusion; Pathwise solutions; Global existence; Time decay (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spa.2021.01.008

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